Multiply $2$ by $\frac{i}{7}$ to get $\frac{2i}{7}$.

Step 1: Write $2$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

Multiply $9$ by $\frac{i}{2}$ to get $\frac{9i}{2}$.

Step 1: Write $9$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

Multiply $9$ by $\frac{i}{14}$ to get $\frac{9i}{14}$.

Step 1: Write $9$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

Add $\frac{-2i}{7}$ and $7$ to get $\frac{-2i+49}{7}$.

Step 1: Write $7$ as a fraction by putting $1$ in the denominator.

Step 2: To add raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the second fraction by $7$.

Multiply $9$ by $\frac{i}{2}$ to get $\frac{9i}{2}$.

Step 1: Write $9$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

Multiply $9$ by $\frac{i}{14}$ to get $\frac{9i}{14}$.

Step 1: Write $9$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

Add $\frac{-2i+49}{7}$ and $\frac{9i}{2}$ to get $\frac{59i+98}{14}$.

To add raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the first fraction by $2$ and the second by $7$.

Multiply $9$ by $\frac{i}{14}$ to get $\frac{9i}{14}$.

Step 1: Write $9$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

Add $\frac{59i+98}{14}$ and $2$ to get $\frac{59i+126}{14}$.

Step 1: Write $2$ as a fraction by putting $1$ in the denominator.

Step 2: To add raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the second fraction by $14$.

Multiply $9$ by $\frac{i}{14}$ to get $\frac{9i}{14}$.

Step 1: Write $9$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

Subtract $\frac{9i}{14}$ from $\frac{59i+126}{14}$ to get $\frac{50i+126}{14}$.

To subtract expressions with the same denominators, we subtract the numerators and write the result over the common denominator.